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Finding the Fourth Proportional to 31,751.46, 43,816.50 and 17,604

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Solution

The fourth proportional to 31,751.46, 43,816.50 and 17,604 is: 24,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.46 : 43,816.50 = 17,604 : x
  2. Step 2: Convert to fraction form
    31,751.46/43,816.50 = 17,604/x
  3. Step 3: Cross multiply
    31,751.46x = 43,816.50 × 17,604
  4. Step 4: Simplify right side
    31,751.46x = 771,345,666
  5. Step 5: Solve for x
    x = 771,345,666/31,751.46
  6. Step 6: Final answer
    x = 24,293.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.